Double Discount Calculator

The double discount calculator helps you in a scenario where two levels of discounts are applied to the price of a product or service. Please keep in mind that the second discount is applied to the price AFTER the first discount has been applied. For example, if the original price was $50 and we have two discounts: 20% and 10%, then we're doing something like this: $50 - 20% × $50 = $50 - $10 = $40. Then $40 - 10% × $40 = $40 - $4 = $36. Also, you may want to check out the regular discount calculator and the triple discount calculator for those super happy occasions ;-).

No matter how enticing a discount offer is, please keep in mind that you must set aside some portion of your income as savings before expenses. Set a long term goal for your savings with our savings goal calculator and see how much you need to set aside each month.

The double discount formula reads:

new price = initial price × (1 - r) × (1 - q),

where:

• r is the first discount; and
• q is the second discount.

To quickly determine the price when two discounts were applied, one on the other, you need to:

1. Convert both discounts from percentages to decimals. For example, 10% = 0.1.
2. Compute the difference between 1 and the first discount.
3. Compute the difference between 1 and the second discount.
4. Multiply together the numbers from steps 2 and 3.
5. Multiply the initial price by the number from Step 4.
6. The value you've obtained is the new price.
7. In case of problems, use an online double discount calculator.

The total discount is 19%. To arrive at this result, observe that (1- 0.1) × (1 - 0.1) = 0.9 × 0.9 = 0.81. That is, the new price is 81% of the initial price. Hence, the total discount is 100% - 81% = 19%.

The new price is $81. Indeed, the price after the first discount equals $100 - 0.1 × 100 = $100 - $10 = $90. And after the second discount, we obtain $90 - 0.1 × 90 = $90 - $9 = $81, as claimed.